343640000 has 210 divisors, whose sum is σ = 949814712. Its totient is φ = 123200000.

The previous prime is 343639993. The next prime is 343640009. The reversal of 343640000 is 46343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343640009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4839965 + ... + 4840035.

Almost surely, 2^343640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474907356).

343640000 is an abundant number, since it is smaller than the sum of its proper divisors (606174712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343640000 is an equidigital number, since it uses as much as digits as its factorization.

343640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 343640000 is about 18537.5295009880. The cubic root of 343640000 is about 700.4351036434.

Adding to 343640000 its reverse (46343), we get a palindrome (343686343).

The spelling of 343640000 in words is "three hundred forty-three million, six hundred forty thousand".